The "eternal" lunar calendar for determining the phases of the moon( n, idelson)

Number	Amendment
Millennium	Amendment	centuries, decades and years	over the centuries	over the decades	over the years
-2000	1.7	-9	19.9	5.0 ​​	9.4
-1000	15.6	-8	24.3	14.2	28.0
0	0.0	-7	28.6	23.5	17.1
1000	13.9	-6	3,4	3,3	6.2
2000	27.7	-5	7.8	12.6	24.9
3000	12.1	-4	12.1	21.9	14.0
4000	25.9	-3	16, 5	1.6	3.1
5000	10.3	-2	20.8	10.9	21.8
6000	24,2	- 1	25,2	20,2	10,9
0	0	0	0
Amendment for the month	+ 1 +2 +3	4.3 8.7 13.0	9.3 18,6	18.6 7.8 26.4
Amendment	27.9
name of the month	new moon	full moon	+4 +5 +6	17,4 21,7 26,0	7,6 16,9 26,2	15,5 4,6 23, 3
January February March	13.4 11.9 24.2	28.2 26.7 9.5	+8 +9	0.8 5.2 9.5	6.0 15.3 24.6	12.4 1.5 20.2
April	22.6	7.9
May	22.0	7.3
June	20.6	5.8
July	20.0	5.3
August	18.4	3.6
September	17.0	2.2
October	16.6	1.9
November	15,1	0,3
December	14,8	0,0

Rules for using

1. To determine the date of a new moon or a full moon, it is necessary to add the number of corrections relating to millennia, centuries, decades, years, months, and also the "calendar" amendment.

2. The calendar adjustment for all years of our era is 0.0;0.2;0.5;0.8 days, depending on whether the remainder of dividing the number corresponding to a given calendar year by four is 0, 1, 2 or 3. In years BC, the remainder is respectively 0, 3, 2 and 1.

3January and February should be considered for the months of the previous year.

4. If the sum of all the corrections exceeds 29.5, then you subtract 29.5 from it;59.1;88.6 or 118.1.The rest will show the date of the first new moon or full moon( in those cases when there are two of them a month).

5. For dates relating to the period after 1582, an amendment that takes into account the new style should be added. In particular, from October 5, 1582 to February 29, 1700, it is equal to 10 days, from March 1, 1900 to February 29, 2100, to 13 days.

6. For dates related to the period before BC.e., In calculation, it follows that the unit is subtracted from the original year.

Examples.

1. Determine the date of the new moon in May 1891

Amendment for 1000 years.	..13,9
for 800 years.	..5.2
for 90 years.	..24,6
for 1 year.	..18.6
for May	..22,0
is the calendar amendment.	..0,8
Amount	85,1
- 59,1
26,0

The received date gives the May New Moon of 1891 according to the old style. According to the calendar for 1891, the new moon occurred on May 26 at 8:17.

2. Determine the date of the full moon in April 1983,

Amendment for 1000 years..	.13,9
for 900 years..	.9,5
for 80 years..	.15,3
for 3 years..	.26.4
for April..	.7.9
is the calendar amendment..	.0,8
amendment for the new style..	.13,0

In the sum we find 86,8.Having withdrawn 59.1, we have a date of 27.7 April.

The table gives the possibility to determine the date of a new moon or a full moon with an accuracy of 0.5 days for any calendar date from 3000 BC.e.to 6000 g.e.